Search a number
-
+
94134059145 = 3357887112303
BaseRepresentation
bin101011110101011010…
…0111100000010001001
322222222100211200011000
41113222310330002021
53020241304343040
6111124455325213
76541505205060
oct1275264740211
9288870750130
1094134059145
1136a162499a5
12162b1380809
138b52450c19
1447add8b1d7
1526ae283130
hex15ead3c089

94134059145 has 64 divisors (see below), whose sum is σ = 191473827840. Its totient is φ = 42983815104.

The previous prime is 94134059111. The next prime is 94134059147. The reversal of 94134059145 is 54195043149.

94134059145 is a `hidden beast` number, since 9 + 4 + 13 + 4 + 0 + 591 + 45 = 666.

It is not a de Polignac number, because 94134059145 - 27 = 94134059017 is a prime.

It is a super-2 number, since 2×941340591452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 94134059145.

It is not an unprimeable number, because it can be changed into a prime (94134059147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 782064 + ... + 894366.

It is an arithmetic number, because the mean of its divisors is an integer number (2991778560).

Almost surely, 294134059145 is an apocalyptic number.

It is an amenable number.

94134059145 is an abundant number, since it is smaller than the sum of its proper divisors (97339768695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94134059145 is a wasteful number, since it uses less digits than its factorization.

94134059145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113211 (or 113205 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 94134059145 in words is "ninety-four billion, one hundred thirty-four million, fifty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 887 945 2661 4435 6209 7983 13305 18627 23949 31045 39915 55881 93135 112303 119745 167643 279405 336909 561515 786121 838215 1010727 1684545 2358363 3032181 3930605 5053635 7075089 11791815 15160905 21225267 35375445 99612761 106126335 298838283 498063805 697289327 896514849 1494191415 2091867981 2689544547 3486446635 4482574245 6275603943 10459339905 13447722735 18826811829 31378019715 94134059145